有界半变差和有界变差c0-群
On bounded semivariation and variation of c0-groups
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摘要: 通过引入有界半变差和有界变差c0-群的概念对c0-群进行了系列刻画;同时在c0-群的无穷小生成元为有界时给出了生成元与有界半变差和有界变差c0-群一些性质之间的关系Abstract: By introducing the concepts of bounded semivariation and variation of a c0-groups T(t)t∈R on a Banach space,some properties of T(t)t∈R are characterized.Furthermore,a few relations between the infinitesimal generator A of T(t)t∈R and these two concepts are also established in terms of the boundedness of A.